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Finding the Fourth Proportional to 103,097.70, 154,646.55 and 92,211.30

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Solution

The fourth proportional to 103,097.70, 154,646.55 and 92,211.30 is: 138,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,097.70 : 154,646.55 = 92,211.30 : x
  2. Step 2: Convert to fraction form
    103,097.70/154,646.55 = 92,211.30/x
  3. Step 3: Cross multiply
    103,097.70x = 154,646.55 × 92,211.30
  4. Step 4: Simplify right side
    103,097.70x = 14,260,159,416.02
  5. Step 5: Solve for x
    x = 14,260,159,416.02/103,097.70
  6. Step 6: Final answer
    x = 138,316.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.